Answer:
a mile
Step-by-step explanation:
he walked 1 mile an hour
hope this helped
Answer:
Jamis would have walked 1 mile in one hour
Step-by-step explanation:
since Jamie walks a mile every hour, at that rate he would have walked 1 mile in one hour as given above.
I hope this helped! :)
☁️☁️☁️☁️
A teacher gives her class a particular examination on mathematics at the end of each year. The results are normally distributed with a mean test score of 60 and a standard deviation of 8. The teacher has told the class that students with a test score in the top 2.5% will win a special prize. Calculate the test score above which 2.5% of all test scores lie. Give your answer to 1 decimal place. Test score
Answer:
Test score of 75.7.
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The results are normally distributed with a mean test score of 60 and a standard deviation of 8.
This means that [tex]\mu = 60, \sigma = 8[/tex]
Calculate the test score above which 2.5% of all test scores lie.
Above the 100 - 2.5 = 97.5th percentile, which is the value of X when Z has a pvalue of 0.975, so X when Z = 1.96.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.96 = \frac{X - 60}{8}[/tex]
[tex]X - 60 = 8*1.96[/tex]
[tex]X = 75.7[/tex]
Test score of 75.7.
2x + 3 – 4 = 5x - 7
2
-2
- 9
9
2x + 3 - 4 = 5x - 7
=> 2x + 3 - 4 + 7 = 5x
=> 3 - 4 + 7 = 5x - 2x
=> 3 - 4 + 7 = 3x
=> -1 + 7 = 3x
=> 6 = 3x
=> 6/3 = x
=> 2 = x
Step-by-step explanation:
2x + 3 - 4 = 5x - 7 2x - 1 = 5x - 7 (-1 + 7 )= 5x - 2x6 = 3x 6 ÷ 3 = x2 = xMARK ME AS BRAINLISTFor the given functions f and g, find the requested composite function value.
f(x) = x - 8
x , g(x) = x2 + 6; Find ( g H f)(-2).
Answer:
106
Step-by-step explanation:
Composite function:
A composite function is represented by:
[tex](g \circ f)(x) = g(f(x))[/tex]
In this question:
[tex]f(x) = x - 8[/tex]
[tex]g(x) = x^2 + 6[/tex]
[tex](g \circ f)(x) = g(f(x)) = g(x-8) = (x-8)^2 + 6[/tex]
Find ( gof)(-2).
When x = -2. So
[tex](g \circ f)(-2) = (-2-8)^2 + 6 = (-10)^2 + 6 = 100 + 6 = 106[/tex]
The answer is 106.
A line has a slope of 2. It passes through the points, (1,2) and (3,y) . what is the value of y?
Answer:
y=6
Step-by-step explanation:
y=mx+b
y=2x+0
the y-intercept is at the origin so going off that when you go to put your line on a graph you come off with the points (0,0) (1,2) (2,4) and finally your answer (3,6)
What is the solution to the equation?
Answer:
32.13
Step-by-step explanation:
g = 15.3 x 2.1 = 32.13
Answer:
g= 15.3 *2.1= 32.13
Hence answer is 32.13
A circular placemat has 44 inches of braid around the edge. What is the area of the placemat to the nearest square inch? Use 3.14 for π.
Answer:
153.86 in^3
Step-by-step explanation:
Given data
A circular placemat has 44 inches of braid around the edge
hence the circumference of the placemat is 44 in
C= 2πr
44= 2*3.14r
r= 44/2*3.14
r= 44/6.28
r= 7.00 in
Area= πr^2
Area= 3.14*7^2
Area= 3.14*49
Area= 153.86 in^3
Hence the area is 153.86 in^3
Why is California at higher risk for earthquakes than North Dakota
( Also i know this isnt math but people answer faster when its in math )
Answer:
Step-by-step explanation:
Because calfornia is right next to Ocean
For f(x) = 2x+1 and g(x) = x2 – 7, find (f/g)(x)
Step-by-step explanation:
Since f(x) is "2x + 1" and g(x) is "x2 - 7" then f(x) + g(x) [which is the same as (f + g)(x)] is "2x + 1" + "x2 - 7" which is 2x + 1 + x2 - 7 or x2 + 2x - 6
So (f + g)(x) = x2 + 2x - 6
is it right? i hope it is
pls helppppppppppppppppppppp
Answer:
10 2/3
Step-by-step explanation:
Multiply 4 and 2 and then multiply 2 and 4. If you do that then you get 8 8/3. You then just take the numerator and turn it into whole numbers to get 10 2/3.
Rudolfo wants to save his allowance in his own bank account. Given that his principal amount ₱20 000 with 1.5% monthly interest rate. How much will Rudolfo receive on the second month of his investment? *
A. ₱20,300.00
B. ₱20,500.00
C. ₱20,600.00
D. ₱20,800.00.
Answer:
Step-by-step explanation:
P = 20,000
R= 1.5
T= 2 years
A = P(1+ R/100) ^ n
Find the value of x
PLEASE HELP!!
Answer:
x =45
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
3x+45 = 180
Subtract 45 from each side
3x+45-45 =180-45
3x= 135
Divide by 3
3x/3 = 145/3
x =45
which is cube number
Answer:
??????
Step-by-step explanation:
Answer:
2³ = 2 × 2 × 2 = 8.
3³ = 3 × 3 × 3 = 27.
4³ = 4 × 4 × 4 = 64.
5³ = 5 × 5 × 5 =125.
Step-by-step explanation:
Fine floors can install 15 square yards of carpeting in 4 hours and 30 minutes. At this rate, how long would it take to install carpet in a room that measures 11 feet 9 inches by 13 feet 4 inches?
Answer:
5 hours and 13 minutes
Step-by-step explanation:
Hope this helps!! Please mark brainlliest.
how to figure the surface area
Answer:
i donk know about this sooooooo sorry
Step-by-step explanation:
jjzkz
PLEASE HELP! INVERSE QUESTION!
Last one.
Hope this helps.
KEVIN USES EACH OF THE DIDGETS 5,7,4 AND 9, ONCE AND ONCE ONLY. TO MAKE FOUR DIDGET NUMBERS. WHATS THE LARGEST AND SMALLEST NUMBER HE CAN MAKE?
Answer:
9754 and 5794
Step-by-step explanation:
Answer:
Largest - 9,754
Smallest - 4,579
Step-by-step explanation:
The time taken by Nick to do his statistics homework follows a normal distribution with a mean of 25 minutes and a standard deviation of 5 minutes. Jasmin’s homework time also follows a normal distribution with a mean of 50 minutes and a standard deviation of 10 minutes. They hate each other’s guts and never work together so we can assume that Nick’s homework completion is independent of Jasmine’s homework completion.
a) Define the random variable D to be the difference between the amount of time spent on a randomly selected assignment of Jasmin’s and a randomly selected assignment of Nick’s. So D = N – J. Find the mean and the standard deviation of D.
b) Calculate the probability that Nick spent longer doing his assignment than Jasmin did. Show your method clearly.
Answer:
a) Mean of D = -25
Standard deviation of D = 11.18
b) P(N > J ) = 0.9875
Step-by-step explanation:
Given - μₙ = 25, σₙ = 5 , μₐ = 50 , σₐ = 10
where μₙ is mean of nick and μₐ is mean of jasmine
σₙ = 5 is standard deviation of nick and σₐ is standard deviation of jasmine
To find - a) Define the random variable D to be the difference between the amount of time spent on a randomly selected assignment of Jasmine’s and a randomly selected assignment of Nick’s. So D = N – J. Find the mean and the standard deviation of D.
b) Calculate the probability that Nick spent longer doing his assignment than Jasmine did. Show your method clearly.
Proof -
a)
Mean of D = Mean of nick - Mean of jasmine
= 25 - 50 = -25
standard deviation of D = √Standard deviation of Nick + jasmine
= √5² + 10² = √25 + 100 = √125 = 11.18
∴ we get
Mean of D = -25
Standard deviation of D = 11.18
b)
We have to find - P(N > J)
If N > J , then D > 0
Now,
The z-score is expressed as
z = [tex]\frac{0 - (-25)}{11.18} = \frac{25}{11.18} = 2.24[/tex]
Now,
P(N>J) = P (D > 0) = P(Z < 2.24)
= 0.9875
⇒P(N > J ) = 0.9875
Mike spent 11/12 hour talking on his cell phone. Brent spent 7/12 hour talking on his cell phone. How much more time did mike spend on his cell phone than Brent?
Write in the simplest form. Be sure to put your answer as well as the unit (hour).
Answer:
1/3
Step-by-step explanation:
Make x the subject of the formula a = b x + c
Answer:
[tex] x = \frac{a - c}{b}[/tex]
Step-by-step explanation:
[tex]a = bx + c \\ \\ a - c = bx \\ \\ \orange{ \bold{x = \frac{a - c}{b}}} [/tex]
Help me with this please 100 points if its done right
Answer:
[tex]P=24\sqrt{x}[/tex] and [tex]A=36x[/tex]
Step-by-step explanation:
To find the perimeter of the triangle, you have to add all the sides of the triangle. So, we get:
[tex]P=8\sqrt{x} +7\sqrt{x} +9\sqrt{x}[/tex]
Combine like terms, meaning the numbers with [tex]\sqrt{x}[/tex]
[tex]P=24\sqrt{x}[/tex]
To find the area of the triangle, we will use the formula [tex]A=\frac{1}{2} bh[/tex], where b is the base and h is the height
The base is: [tex]9\sqrt{x}[/tex]
The height is: [tex]8\sqrt{x}[/tex]
Plug and chug:
[tex]A=\frac{1}{2} *9\sqrt{x} *8\sqrt{x}[/tex]
[tex]A=\frac{1}{2} *72x\\A=36x[/tex]
Which of the following is a solution to the inequality below?
10b≤ 59
A.) b=2
B.) b=7
C.) b=11
D.) b=9
Answer:
A.) b=2
Step-by-step explanation:
10b ≤ 59
Divide both sides by 10.
b ≤ 5.9
Any number that is 5.9 or less than 5.9 is a solution.
The only such number in the choices is 2.
Answer: A.) b=2
Factor Completely:::
Answer:
6x²+27x+24
3(2x²-9x+8)
Given that R = 6x + 9y
Find y when X = 1 and R= 39
Give your answer as an improper fraction in its simplest form.
y=
Answer:
11/3
Step-by-step explanation:
x=1, R=39, y=?
R=6x + 9y
(substitute the parameters into the equation)
39=6(1) + 9y
39= 6 + 9y
(collect like terms)
39 - 6 =9y
33=9y
(divide both sides by 9)
33/9=9y/9
11/3=y
therefore, y= 11/3
remi and vishal start at the same point and begin jogging in different directions. remi is jogging east at a speed of 4 miles per hour. vishal is jogging South at a speed of 2 miles per hour. after how many hours will they be exactly 12 miles apart
Answer:
2.68 hours
Step-by-step explanation:
2 3/15 rounded to the nearest half
Hi there!
Answer:
2.5/5
Step By Step Explanation:
Given function:
2 3/153/15=1/51/5=nearest half=2.5/5Therefore, 2 3/15 rounded to the nearest half is 2.5/5.
Answer:
2
Step-by-step explanation:
:)
I need help. This is due tonight at 11:59 pm
Answer:
Answer: $118.50 per day
Step-by-step explanation:
1,000-348.25= 651.75
651.75÷5.5= 118.50
what is the value of 1/3x squared + 5.2y when x=3 and Y=2
Answer:
13.4
Step-by-step explanation:
1/3(3²) + 5.2(2) = 3 + 10.4
b is 30 more than a. b is 6 times as many as a. Find the values of a and b.
Answer:
a = 6 and b = 36
Step-by-step explanation:
Set up equations:
b = 30 + a
b = 6a
Subtract the two equations:
b = 6a
- (b = 30 + a)
5a - 30 = 0
5a = 30
divide both sides by 5
a = 6
Plug a = 6 into the original equation:
b = 30 + 6
b = 36
you could also do:
b = 6 * 6
b = 36
Answer:
Step-by-step explanation:
Find the perimeter of the shape on this centimetre grid.
Answer:
the perimeter is 16
Step-by-step explanation:
The computation of the shape on this centimeter grid is shown below:
As we can see in the attached figure that the some portion is highlighted
So if we count that
like
So after counting it comes 16
Therefore the perimeter is 16
Kelsey uses the similarity statement Triangle R S T is similar to triangle R U V to describe the triangles below.
Triangle R U V. Side V R is 4 centimeters, R U is 1.5 centimeters, and V U is 2.7 centimeters. Triangle R S T. Side R S is 3.0 centimeters, R T is 8.0 centimeters, and S T is 5.4 centimeters.
Which best describes the accuracy of her statement?
Accurate. Each pair of sides corresponds with a common ratio of 2.
Accurate. The description of each triangle begins at the same vertex.
Inaccurate. In the order listed, the ratio between each pair of sides is different.
Inaccurate. The description of the triangles in the similarity statement moves clockwise in one triangle and counterclockwise in the other triangle.
Answer:
A
Accurate. Each pair of sides corresponds with a common ratio of 2.
Step-by-step explanation:
edge 2021
Each pair of sides corresponds with a common ratio of 2. The correct option is A.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
If two figures have three sides similar then they will be similar by side-by-side property which is written as SSS.
Given that Triangle R U V. Side V R is 4 centimetres, R U is 1.5 centimetres, and V U is 2.7 centimetres. Triangle R S T. Side R S is 3.0 centimetres, R T is 8.0 centimetres, and S T is 5.4 centimetres.
The two triangles have a common ratio of 2.
R U = 1.5 cm
R S = 3.0 cm
V R = 4 cm
R T = 8.0 cm
The correct option is A.
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